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arXiv · 1904.00218

Exponentially stable solution of mathematical model based on graph theory of agents dynamics on time scales

Urszula Ostaszewska·Malgorzata Zdanowicz·Ewa Schmeidel
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Abstract

In this paper an emergence of leader-following model based on graph theory on the arbitrary time scales is investigated. It means that the step size is not necessarily constant but it is a function of time. We propose and prove conditions ensuring a leader-following consensus for any time scales using Gr\"{o}nwall inequality. The presented results are illustrated by examples.

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Urszula Ostaszewska, Malgorzata Zdanowicz, Ewa Schmeidel. 2019-03-30. Exponentially stable solution of mathematical model based on graph theory of agents dynamics on time scales. https://arxiv.org/abs/1904.00218

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